Adam Chapman

activity

20112024

most citedA Simple Motivated Completion of the Standard Model below the Planck Scale: Axions and Right-Handed Neutrinos

78 citations · 165 across the 30 of their papers we have counts for

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Showing 2018Show all

5 papers · 1 filter

cond-mat.mes-hall2018★ 62 cited

Classification of Crystalline Topological Insulators and Superconductors with Point Group Symmetries

Eyal Cornfeld, Adam Chapman

Crystalline topological phases have recently attracted a lot of experimental and theoretical attention. Key advances include the complete elementary band representation analyses of…

math.AC2018

The descent of biquaternion algebras in characteristic two

Demba Barry, Adam Chapman, Ahmed Laghribi

In this paper we associate an invariant to a biquaternion algebra $B$ over a field $K$ with a subfield $F$ such that $K / F$ is a quadratic separable extension and $\operatorname{cha…

math.RA2018

Polynomial Equations over Octonion Algebras

Adam Chapman

In this paper we present a complete method for finding the roots of all polynomials of the form $ϕ (z) = c_{n} z^{n} + c_{n - 1} z^{n - 1} + \dots + c_{1} z + c_{0}$ over a given octonion division algebr…

math.AC2018

Types of Linkage of Quadratic Pfister Forms

Adam Chapman, Andrew Dolphin

Given a field $F$ of positive characteristic $p$ , $θ \in H_{p}^{n - 1} (F)$ and $β, γ \in F^{\times}$ , we prove that if the symbols $θ \land \frac{d β}{β}$ and $θ \land \frac{d γ}{γ}$ in $H_p^n(…

math.RA2018

The Alternative Clifford Algebra of a Ternary Quadratic Form

Adam Chapman, Uzi Vishne

We prove that the alternative Clifford algebra of a nondegenerate ternary quadratic form is an octonion algebra over the ring of polynomials in one variable over the field of defin…